Finite Group Databasebeta

← C2×#13129107 #16770214

Subgroups — C2×#13129107 #16770214

Order 3328.

7418 conjugacy classes of subgroups.

The subgroup lattice has 2032 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13129107C2132yesmaximal, direct product factor
2C2×#11719299C211yesmaximal, characteristic, complemented
3C2×#11719388C211yesmaximal, characteristic, complemented
4C2×#11719325C211yesmaximal, characteristic, complemented
5C2×#11719325C211yesmaximal, characteristic, complemented
6C2×#11719264C211yesmaximal, characteristic, complemented
7C2×#11719386C211yesmaximal, characteristic, complemented
8C2×#11719376C211yesmaximal, characteristic, complemented
9C2×#11719407C211yesmaximal, characteristic, complemented
10C2×#11719321C211yesmaximal, characteristic, complemented
11C2×#11719375C211yesmaximal, characteristic, complemented
12C2×#11719200C211yesmaximal, characteristic, complemented
13C2×#11719410C211yesmaximal, characteristic, complemented
14C2×#11719257C211yesmaximal, characteristic, complemented
15C2×#11719303C211yesmaximal, characteristic, complemented
16C2×#11719195C211yesmaximal, characteristic, complemented
17C2×#11719296C211yesmaximal, characteristic, complemented
18C2×#11719348C211yesmaximal, characteristic, complemented
19C2×#11719345C211yesmaximal, characteristic, complemented
20C2×#11719367C211yesmaximal, characteristic, complemented
21C2×#11719415C211yesmaximal, characteristic, complemented
22C2×#11719415C211yesmaximal, characteristic, complemented
23C2×#11719266C211yesmaximal, characteristic, complemented
24C2×#11719362C211yesmaximal, characteristic, complemented
25C2×#11719298C211yesmaximal, characteristic, complemented
26C2×#11719318C211yesmaximal, characteristic, complemented
27C2×#11719353C211yesmaximal, characteristic, complemented
28C2×#11719297C211yesmaximal, characteristic, complemented
29C2×#11719311C211yesmaximal, characteristic, complemented
30C2×#11719252C211yesmaximal, characteristic, complemented
31C2×#11719361C211yesmaximal, characteristic, complemented
32C2×C13×#538C211yesmaximal, characteristic, complemented
33C23×C22⋊D13C2211yescharacteristic, complemented
34C22×#6129C2211yescharacteristic
35C22×#6129C2211yescharacteristic
36C22×#6127C2211yescharacteristic
37C23×C4×D13C2211yescharacteristic, complemented
38C23×Dic26C2211yescharacteristic, complemented
39C13×#538C22116yescomplemented
40C2×C13×#126C2211yescharacteristic, complemented
41C2×C13×#126C2211yescharacteristic, complemented
42C2×C13×#124C2211yescharacteristic
43C2×C13×#124C2211yescharacteristic, complemented
44C2×C13×#123C2211yescharacteristic, complemented
45C2×C13×#123C2211yescharacteristic, complemented
46C2×C13×C22⋊Q8C2211yescharacteristic, complemented
47C2×C13×#121C2211yescharacteristic
48C2×C13×#121C2211yescharacteristic, complemented
49C2×C13×#121C2211yescharacteristic, complemented
50C2×C13×#120C2211yescharacteristic
51C2×C13×#120C2211yescharacteristic, complemented
52C2×C4×D4×C13C2211yescharacteristic, complemented
53C2×C4×D4×C13C2211yescharacteristic, complemented
54C22×C13×C22⋊C4C2211yescharacteristic, complemented
55C2×#88207C2211yescharacteristic
56C2×#88207C2211yescharacteristic
57C22×C22⋊Dic13C2211yescharacteristic, complemented
58C2×#88201C2211yescharacteristic, complemented
59C2×#88201C2211yescharacteristic, complemented
60C2×Q8×Dic13C2211yescharacteristic, complemented
61C2×#88198C2211yescharacteristic, complemented
62C2×#88194C2211yescharacteristic
63C2×#88194C2211yescharacteristic
64C2×#88193C2211yescharacteristic
65C2×#88193C2211yescharacteristic
66C2×#88193C2211yescharacteristic, complemented
67C2×#88193C2211yescharacteristic, complemented
68C2×#88193C2211yescharacteristic, complemented
69C2×#88193C2211yescharacteristic, complemented
70C2×#88193C2211yescharacteristic, complemented
71C2×#88192C2211yescharacteristic
72C2×#88192C2211yescharacteristic
73C2×#88192C2211yescharacteristic, complemented
74C2×#88191C2211yescharacteristic
75C2×#88191C2211yescharacteristic
76C2×#88191C2211yescharacteristic, complemented
77C2×#88191C2211yescharacteristic, complemented
78C2×#88191C2211yescharacteristic, complemented
79C2×#88191C2211yescharacteristic, complemented
80C2×#88190C2211yescharacteristic
81C2×#88190C2211yescharacteristic, complemented
82C2×#88190C2211yescharacteristic, complemented
83C2×#88190C2211yescharacteristic, complemented
84C2×#88189C2211yescharacteristic, complemented
85C2×D4×Dic13C2211yescharacteristic
86C2×D4×Dic13C2211yescharacteristic, complemented
87C2×D4×Dic13C2211yescharacteristic, complemented
88C2×#88184C2211yescharacteristic
89C2×#88184C2211yescharacteristic, complemented
90C2×#88183C2211yescharacteristic, complemented
91C2×#88183C2211yescharacteristic, complemented
92C2×#88183C2211yescharacteristic, complemented
93C2×#88183C2211yescharacteristic, complemented
94C2×C4×C22⋊D13C2211yescharacteristic, complemented
95C2×C4×C22⋊D13C2211yescharacteristic, complemented
96C2×C4×C22⋊D13C2211yescharacteristic, complemented
97C2×C4×C22⋊D13C2211yescharacteristic, complemented
98C2×#88180C2211yescharacteristic, complemented
99C2×#88178C2211yescharacteristic, complemented
100C2×#88178C2211yescharacteristic, complemented
101#11719415C22116yescomplemented
102#11719415C22116yescomplemented
103#11719410C22116yescomplemented
104#11719407C22116yescomplemented
105#11719388C22116yescomplemented
106#11719386C22116yescomplemented
107#11719376C22116yescomplemented
108#11719375C22116yescomplemented
109#11719367C22116yescomplemented
110#11719362C22116yescomplemented
111#11719361C22116yescomplemented
112#11719353C22116yescomplemented
113#11719348C22116yescomplemented
114#11719345C22116yescomplemented
115#11719325C22116yescomplemented
116#11719325C22116yescomplemented
117#11719321C22116yescomplemented
118#11719318C22116yescomplemented
119#11719311C22116yescomplemented
120#11719303C22116yescomplemented
121#11719299C22116yescomplemented
122#11719298C22116yescomplemented
123#11719297C22116yescomplemented
124#11719296C22116yescomplemented
125#11719266C22116yescomplemented
126#11719264C22116yescomplemented
127#11719257C22116yescomplemented
128#11719252C22116yescomplemented
129C2×#88152C2211yescharacteristic, complemented
130C2×#88152C2211yescharacteristic, complemented
131C2×#88152C2211yescharacteristic, complemented
132C2×#88152C2211yescharacteristic, complemented
133C2×#88151C2211yescharacteristic, complemented
134C2×#88151C2211yescharacteristic, complemented
135C2×#88151C2211yescharacteristic, complemented
136C2×#88150C2211yescharacteristic, complemented
137C2×#88150C2211yescharacteristic, complemented
138C2×#88150C2211yescharacteristic, complemented
139C2×#88150C2211yescharacteristic, complemented
140C2×#88150C2211yescharacteristic, complemented
141C2×#88148C2211yescharacteristic, complemented
142C2×#88148C2211yescharacteristic, complemented
143C2×#88148C2211yescharacteristic, complemented
144C2×#88147C2211yescharacteristic, complemented
145C2×#88147C2211yescharacteristic, complemented
146C2×#88146C2211yescharacteristic, complemented
147C2×#88146C2211yescharacteristic, complemented
148C2×#88142C2211yescharacteristic, complemented
149C2×#88142C2211yescharacteristic, complemented
150C2×#88142C2211yescharacteristic, complemented
151C2×#88141C2211yescharacteristic, complemented
152C2×#88141C2211yescharacteristic, complemented
153#11719200C22116yescomplemented
154C2×#88140C2211yescharacteristic, complemented
155C2×#88140C2211yescharacteristic, complemented
156C2×#88140C2211yescharacteristic, complemented
157C2×#88139C2211yescharacteristic
158C2×#88139C2211yescharacteristic
159C2×#88139C2211yescharacteristic
160C2×#88139C2211yescharacteristic
161C2×#88139C2211yescharacteristic, complemented
162C2×#88139C2211yescharacteristic, complemented
163C2×#88139C2211yescharacteristic, complemented
164C2×#88139C2211yescharacteristic, complemented
165C2×#88139C2211yescharacteristic, complemented
166C2×#88139C2211yescharacteristic, complemented
167C2×#88139C2211yescharacteristic, complemented
168C2×#88139C2211yescharacteristic, complemented
169C2×#88139C2211yescharacteristic, complemented
170C2×#88139C2211yescharacteristic, complemented
171C2×#88139C2211yescharacteristic, complemented
172C2×#88139C2211yescharacteristic, complemented
173#11719195C22116yescomplemented
174C2×#88138C2211yescharacteristic
175C2×#88138C2211yescharacteristic
176C2×#88138C2211yescharacteristic
177C2×#88138C2211yescharacteristic
178C2×#88138C2211yescharacteristic, complemented
179C2×#88137C2211yescharacteristic
180C2×#88137C2211yescharacteristic, complemented
181C2×#88137C2211yescharacteristic, complemented
182C2×#88137C2211yescharacteristic, complemented
183C2×#88137C2211yescharacteristic, complemented
184C2×#88136C2211yescharacteristic
185C2×#88136C2211yescharacteristic
186C2×#88136C2211yescharacteristic, complemented
187C2×#88136C2211yescharacteristic, complemented
188C2×#88135C2211yescharacteristic
189C2×#88135C2211yescharacteristic, complemented
190C2×#88135C2211yescharacteristic, complemented
191C2×#88135C2211yescharacteristic, complemented
192C2×#88135C2211yescharacteristic, complemented
193C2×#88135C2211yescharacteristic, complemented
194C2×C22⋊C4×D13C2211yescharacteristic, complemented
195C2×C22⋊C4×D13C2211yescharacteristic, complemented
196C2×#88133C2211yescharacteristic, complemented
197C2×#88133C2211yescharacteristic, complemented
198C2×#88133C2211yescharacteristic, complemented
199C2×#88133C2211yescharacteristic, complemented
200C2×#88133C2211yescharacteristic, complemented
201C2×#88133C2211yescharacteristic, complemented
202C2×#88132C2211yescharacteristic, complemented
203C2×#88132C2211yescharacteristic, complemented
204C2×#88132C2211yescharacteristic, complemented
205C2×#88132C2211yescharacteristic, complemented
206C2×#88132C2211yescharacteristic, complemented
207C2×#88131C2211yescharacteristic, complemented
208C2×#88131C2211yescharacteristic, complemented
209C2×#88131C2211yescharacteristic, complemented
210C2×#88131C2211yescharacteristic, complemented
211C2×#88129C2211yescharacteristic, complemented
212C2×#88129C2211yescharacteristic, complemented
213C2×C4×D52C2211yescharacteristic, complemented
214C2×#88126C2211yescharacteristic, complemented
215C2×#88126C2211yescharacteristic, complemented
216C2×C4×Dic26C2211yescharacteristic, complemented
217C2×C4×Dic26C2211yescharacteristic, complemented
218C2×C4×Dic26C2211yescharacteristic, complemented
219C25×C13C2311yescharacteristic
220C24×D13C2311yescharacteristic
221C24×D13C2311yescharacteristic
222C22×Q8×C13C2311yescharacteristic
223C22×D4×C13C2311yescharacteristic
224C22×D4×C13C2311yescharacteristic
225C22×D4×C13C2311yescharacteristic
226C22×D4×C13C2311yescharacteristic
227C22×D4×C13C2311yescharacteristic
228C22×D4×C13C2311yescharacteristic
229C22×D4×C13C2311yescharacteristic
230C23×C4×C13C2311yescharacteristic
231C23×C4×C13C2311yescharacteristic
232C23×C4×C13C2311yescharacteristic
233C23×C4×C13C2311yescharacteristic
234C22×C22⋊D13—44no—
235C22×C22⋊D13C2311yescharacteristic
236C22×C22⋊D13C2311yescharacteristic
237C22×C22⋊D13C2311yescharacteristic
238C22×C22⋊D13C2311yescharacteristic
239C22×C22⋊D13C2311yescharacteristic
240C22×C22⋊D13C2311yescharacteristic
241C22×C22⋊D13C2311yescharacteristic
242C22×C22⋊D13C2311yescharacteristic
243C22×C22⋊D13C2311yescharacteristic
244C22×C22⋊D13C2311yescharacteristic
245C22×C22⋊D13C2311yescharacteristic
246C22×C22⋊D13C2311yescharacteristic
247C22×C22⋊D13C2311yescharacteristic
248C22×C22⋊D13C2311yescharacteristic
249C22×C22⋊D13C2311yescharacteristic
250C22×C22⋊D13C2311yescharacteristic
251C22×C22⋊D13C2318yescomplemented
252C23×Dic13C2311yescharacteristic
253C23×Dic13C2311yescharacteristic
254C23×Dic13C2311yescharacteristic
255C23×Dic13C2311yescharacteristic
256C23×Dic13C2311yescharacteristic
257C23×Dic13C2311yescharacteristic
258C2×#6129—44no—
259C2×#6129—44no—
260C2×#6129C2318yes—
261C2×#6129C2318yes—
262C2×#6127—44no—
263C2×#6127C2318yes—
264C22×D52C2311yescharacteristic
265C22×D52C2311yescharacteristic
266C22×D52C2311yescharacteristic
267C22×D52C2311yescharacteristic
268C22×C4×D13—44no—
269C22×C4×D13C2311yescharacteristic
270C22×C4×D13C2311yescharacteristic
271C22×C4×D13C2311yescharacteristic
272C22×C4×D13C2311yescharacteristic
273C22×C4×D13C2311yescharacteristic
274C22×C4×D13C2311yescharacteristic
275C22×C4×D13C2311yescharacteristic
276C22×C4×D13C2311yescharacteristic
277C22×C4×D13C2318yescomplemented
278C22×Dic26—44no—
279C22×Dic26C2311yescharacteristic
280C22×Dic26C2311yescharacteristic
281C22×Dic26C2311yescharacteristic
282C22×Dic26C2311yescharacteristic
283C22×Dic26C2311yescharacteristic
284C22×Dic26C2311yescharacteristic
285C22×Dic26C2311yescharacteristic
286C22×Dic26C2311yescharacteristic
287C22×Dic26C2318yescomplemented
288C13×#126C2318yescomplemented
289C13×#126C2318yescomplemented
290C13×#124C2318yes—
291C13×#124C2318yescomplemented
292C13×#123C2318yescomplemented
293C13×#123C2318yescomplemented
294C13×C22⋊Q8C2318yescomplemented
295C13×#121C2318yes—
296C13×#121C2318yescomplemented
297C13×#121C2318yescomplemented
298C13×#120C2318yes—
299C13×#120C2318yescomplemented
300C4×D4×C13C2318yescomplemented
301C4×D4×C13C2318yescomplemented
302C2×C13×C4⋊C4C2311yescharacteristic
303C2×C13×C4⋊C4C2311yescharacteristic
304C2×C13×C4⋊C4C2311yescharacteristic
305C2×C13×C4⋊C4C2311yescharacteristic
306C2×C13×C4⋊C4C2311yescharacteristic
307C2×C13×C4⋊C4C2311yescharacteristic
308C2×C13×C22⋊C4C2311yescharacteristic
309C2×C13×C22⋊C4C2311yescharacteristic
310C2×C13×C22⋊C4C2311yescharacteristic
311C2×C13×C22⋊C4C2311yescharacteristic
312C2×C13×C22⋊C4C2311yescharacteristic
313C2×C13×C22⋊C4C2311yescharacteristic
314C2×C13×C22⋊C4C2311yescharacteristic
315C2×C13×C22⋊C4C2311yescharacteristic
316C2×C13×C22⋊C4C2311yescharacteristic
317C2×C13×C22⋊C4C2311yescharacteristic
318C2×C13×C22⋊C4C2311yescharacteristic
319C2×C13×C22⋊C4C2311yescharacteristic
320C2×C13×C22⋊C4C2311yescharacteristic
321C2×C13×C22⋊C4C2311yescharacteristic
322C2×C13×C22⋊C4C2318yescomplemented
323C2×C42×C13C2311yescharacteristic
324C2×C42×C13C2311yescharacteristic
325#88207C2318yes—
326#88207C2318yes—
327C2×C22⋊Dic13C2311yescharacteristic
328C2×C22⋊Dic13C2311yescharacteristic
329C2×C22⋊Dic13C2311yescharacteristic
330C2×C22⋊Dic13C2311yescharacteristic
331C2×C22⋊Dic13C2311yescharacteristic
332C2×C22⋊Dic13C2311yescharacteristic
333C2×C22⋊Dic13C2311yescharacteristic
334C2×C22⋊Dic13C2311yescharacteristic
335C2×C22⋊Dic13C2311yescharacteristic
336C2×C22⋊Dic13C2311yescharacteristic
337C2×C22⋊Dic13C2311yescharacteristic
338C2×C22⋊Dic13C2311yescharacteristic
339C2×C22⋊Dic13C2311yescharacteristic
340C2×C22⋊Dic13C2311yescharacteristic
341C2×C22⋊Dic13C2311yescharacteristic
342C2×C22⋊Dic13C2311yescharacteristic
343C2×C22⋊Dic13C2318yescomplemented
344#88201C2318yescomplemented
345#88201C2318yescomplemented
346Q8×Dic13C2318yescomplemented
347#88198C2318yescomplemented
348#88194C2318yes—
349#88194C2318yes—
350#88193C2318yes—
351#88193C2318yes—
352#88193C2318yescomplemented
353#88193C2318yescomplemented
354#88193C2318yescomplemented
355#88193C2318yescomplemented
356#88193C2318yescomplemented
357#88192C2318yes—
358#88192C2318yes—
359#88192C2318yescomplemented
360#88191C2318yes—
361#88191C2318yes—
362#88191C2318yescomplemented
363#88191C2318yescomplemented
364#88191C2318yescomplemented
365#88191C2318yescomplemented
366#88190C2318yes—
367#88190C2318yescomplemented
368#88190C2318yescomplemented
369#88190C2318yescomplemented
370#88189C2318yescomplemented
371D4×Dic13C2318yes—
372D4×Dic13C2318yescomplemented
373D4×Dic13C2318yescomplemented
374#88184C2318yes—
375#88184C2318yescomplemented
376#88183C2318yescomplemented
377#88183C2318yescomplemented
378#88183C2318yescomplemented
379#88183C2318yescomplemented
380C4×C22⋊D13C2318yescomplemented
381C4×C22⋊D13C2318yescomplemented
382C4×C22⋊D13C2318yescomplemented
383C4×C22⋊D13C2318yescomplemented
384C2×#6103C2311yescharacteristic
385C2×#6103C2311yescharacteristic
386C2×#6103C2311yescharacteristic
387C2×#6103C2311yescharacteristic
388C2×#6103C2311yescharacteristic
389C2×#6103C2311yescharacteristic
390C2×#6103C2311yescharacteristic
391C2×#6103C2311yescharacteristic
392C2×#6103C2311yescharacteristic
393C2×#6103C2311yescharacteristic
394C2×#6103C2311yescharacteristic
395C2×#6103C2311yescharacteristic
396C2×#6103C2311yescharacteristic
397C2×#6103C2311yescharacteristic
398C2×#6103C2311yescharacteristic
399C2×#6103C2311yescharacteristic
400C2×#6103C2311yescharacteristic
401C2×#6103C2311yescharacteristic
402C2×#6103C2311yescharacteristic
403C2×#6103C2311yescharacteristic
404C2×#6103C2311yescharacteristic
405C2×#6103C2311yescharacteristic
406C2×#6103C2311yescharacteristic
407C2×#6103C2311yescharacteristic
408#88180C2318yescomplemented
409C2×C4⋊Dic13C2311yescharacteristic
410C2×C4⋊Dic13C2311yescharacteristic
411C2×C4⋊Dic13C2311yescharacteristic
412C2×C4⋊Dic13C2311yescharacteristic
413C2×C4⋊Dic13C2311yescharacteristic
414C2×C4⋊Dic13C2311yescharacteristic
415C2×C4⋊Dic13C2311yescharacteristic
416C2×C4⋊Dic13C2311yescharacteristic
417#88178C2318yescomplemented
418#88178C2318yescomplemented
419C2×#6101C2311yescharacteristic
420C2×#6101C2311yescharacteristic
421C2×#6101C2311yescharacteristic
422C2×#6101C2311yescharacteristic
423C2×#6101C2311yescharacteristic
424C2×#6101C2311yescharacteristic
425C2×#6101C2311yescharacteristic
426C2×#6101C2311yescharacteristic
427C2×#6101C2311yescharacteristic
428C2×#6101C2311yescharacteristic
429C2×#6101C2311yescharacteristic
430C2×#6101C2311yescharacteristic
431C2×#6101C2311yescharacteristic
432C2×#6101C2311yescharacteristic
433C2×#6101C2311yescharacteristic
434C2×#6101C2311yescharacteristic
435C2×C4×Dic13C2311yescharacteristic
436C2×C4×Dic13C2311yescharacteristic
437C2×C4×Dic13C2311yescharacteristic
438C2×C4×Dic13C2311yescharacteristic
439C2×C4×Dic13C2311yescharacteristic
440C2×C4×Dic13C2311yescharacteristic
441C2×C4×Dic13C2311yescharacteristic
442C2×C4×Dic13C2311yescharacteristic
443C2×C4×Dic13C2311yescharacteristic
444C2×C4×Dic13C2311yescharacteristic
445C2×C4×Dic13C2311yescharacteristic
446C2×C4×Dic13C2311yescharacteristic
447#88152C2318yescomplemented
448#88152C2318yescomplemented
449#88152C2318yescomplemented
450#88152C2318yescomplemented
451#88151C2318yescomplemented
452#88151C2318yescomplemented
453#88151C2318yescomplemented
454#88150C2318yescomplemented
455#88150C2318yescomplemented
456#88150C2318yescomplemented
457#88150C2318yescomplemented
458#88150C2318yescomplemented
459#88148C2318yescomplemented
460#88148C2318yescomplemented
461#88148C2318yescomplemented
462#88147C2318yescomplemented
463#88147C2318yescomplemented
464#88146C2318yescomplemented
465#88146C2318yescomplemented
466#88142C2318yescomplemented
467#88142C2318yescomplemented
468#88142C2318yescomplemented
469#88141C2318yescomplemented
470#88141C2318yescomplemented
471#88140C2318yescomplemented
472#88140C2318yescomplemented
473#88140C2318yescomplemented
474#88139C2318yes—
475#88139C2318yes—
476#88139C2318yes—
477#88139C2318yes—
478#88139C2318yescomplemented
479#88139C2318yescomplemented
480#88139C2318yescomplemented
481#88139C2318yescomplemented
482#88139C2318yescomplemented
483#88139C2318yescomplemented
484#88139C2318yescomplemented
485#88139C2318yescomplemented
486#88139C2318yescomplemented
487#88139C2318yescomplemented
488#88139C2318yescomplemented
489#88139C2318yescomplemented
490#88138C2318yes—
491#88138C2318yes—
492#88138C2318yes—
493#88138C2318yes—
494#88138C2318yescomplemented
495#88137C2318yes—
496#88137C2318yescomplemented
497#88137C2318yescomplemented
498#88137C2318yescomplemented
499#88137C2318yescomplemented
500#88136C2318yes—
501#88136C2318yes—
502#88136C2318yescomplemented
503#88136C2318yescomplemented
504#88135C2318yes—
505#88135C2318yescomplemented
506#88135C2318yescomplemented
507#88135C2318yescomplemented
508#88135C2318yescomplemented
509#88135C2318yescomplemented
510C22⋊C4×D13C2318yescomplemented
511C22⋊C4×D13C2318yescomplemented
512#88133C2318yescomplemented
513#88133C2318yescomplemented
514#88133C2318yescomplemented
515#88133C2318yescomplemented
516#88133C2318yescomplemented
517#88133C2318yescomplemented
518#88132C2318yescomplemented
519#88132C2318yescomplemented
520#88132C2318yescomplemented
521#88132C2318yescomplemented
522#88132C2318yescomplemented
523#88131C2318yescomplemented
524#88131C2318yescomplemented
525#88131C2318yescomplemented
526#88131C2318yescomplemented
527#88129C2318yescomplemented
528#88129C2318yescomplemented
529C4×D52C2318yescomplemented
530#88126C2318yescomplemented
531#88126C2318yescomplemented
532C4×Dic26C2318yescomplemented
533C4×Dic26C2318yescomplemented
534C4×Dic26C2318yescomplemented
535C2×#3540—131nomaximal, Sylow
536C24×C13—42no—
537C24×C13—42no—
538C24×C13—42no—
539C24×C13C2411yescharacteristic
540C24×C13C2411yescharacteristic
541C24×C13C2411yescharacteristic
542C24×C13C2411yescharacteristic
543C24×C13C2411yescharacteristic
544C24×C13C2414yes—
545C23×D13—42no—
546C23×D13—42no—
547C23×D13—42no—
548C23×D13—42no—
549C23×D13—42no—
550C23×D13—42no—
551C23×D13C2411yescharacteristic
552C23×D13C2411yescharacteristic
553C23×D13C2411yescharacteristic
554C23×D13C2411yescharacteristic
555C23×D13C2414yes—
556C23×D13C2414yes—
557C2×Q8×C13—42no—
558C2×Q8×C13C2414yes—
559C2×D4×C13—42no—
560C2×D4×C13—42no—
561C2×D4×C13—42no—
562C2×D4×C13—42no—
563C2×D4×C13—42no—
564C2×D4×C13—42no—
565C2×D4×C13—42no—
566C2×D4×C13C2414yes—
567C2×D4×C13C2414yes—
568C2×D4×C13C2414yes—
569C2×D4×C13C2414yes—
570C2×D4×C13C2414yes—
571C2×D4×C13C2414yes—
572C2×D4×C13C2414yes—
573C22×C4×C13—42no—
574C22×C4×C13—42no—
575C22×C4×C13—42no—
576C22×C4×C13—42no—
577C22×C4×C13C2411yescharacteristic
578C22×C4×C13C2411yescharacteristic
579C22×C4×C13C2411yescharacteristic
580C22×C4×C13C2411yescharacteristic
581C22×C4×C13C2411yescharacteristic
582C22×C4×C13C2411yescharacteristic
583C22×C4×C13C2411yescharacteristic
584C22×C4×C13C2411yescharacteristic
585C22×C4×C13C2411yescharacteristic
586C22×C4×C13C2411yescharacteristic
587C22×C4×C13C2414yes—
588C22×C4×C13C2414yes—
589C22×C4×C13C2414yes—
590C22×C4×C13C2414yes—
591C2×C22⋊D13—24no—
592C2×C22⋊D13—24no—
593C2×C22⋊D13—416no—
594C2×C22⋊D13—42no—
595C2×C22⋊D13—42no—
596C2×C22⋊D13—42no—
597C2×C22⋊D13—42no—
598C2×C22⋊D13—42no—
599C2×C22⋊D13—42no—
600C2×C22⋊D13—42no—
601C2×C22⋊D13—42no—
602C2×C22⋊D13—42no—
603C2×C22⋊D13—42no—
604C2×C22⋊D13—42no—
605C2×C22⋊D13—42no—
606C2×C22⋊D13—42no—
607C2×C22⋊D13—42no—
608C2×C22⋊D13C2414yes—
609C2×C22⋊D13C2414yes—
610C2×C22⋊D13C2414yes—
611C2×C22⋊D13C2414yes—
612C2×C22⋊D13C2414yes—
613C2×C22⋊D13C2414yes—
614C2×C22⋊D13C2414yes—
615C2×C22⋊D13C2414yes—
616C2×C22⋊D13C2414yes—
617C2×C22⋊D13C2414yes—
618C2×C22⋊D13C2414yes—
619C2×C22⋊D13C2414yes—
620C2×C22⋊D13C2414yes—
621C2×C22⋊D13C2414yes—
622C2×C22⋊D13C2414yes—
623C2×C22⋊D13C2414yes—
624C22×Dic13—24no—
625C22×Dic13—24no—
626C22×Dic13—24no—
627C22×Dic13—42no—
628C22×Dic13—42no—
629C22×Dic13—42no—
630C22×Dic13C2414yes—
631C22×Dic13C2414yes—
632C22×Dic13C2414yes—
633C22×Dic13C2411yescharacteristic
634C22×Dic13C2411yescharacteristic
635C22×Dic13C2411yescharacteristic
636C22×Dic13C2411yescharacteristic
637C22×Dic13C2411yescharacteristic
638C22×Dic13C2411yescharacteristic
639C22×Dic13C2411yescharacteristic
640C22×Dic13C2411yescharacteristic
641C22×Dic13C2411yescharacteristic
642C22×Dic13C2411yescharacteristic
643C22×Dic13C2411yescharacteristic
644C22×Dic13C2414yes—
645C22×Dic13C2414yes—
646C22×Dic13C2414yes—
647C22×Dic13C2411yescharacteristic
648#6129—416no—
649#6129—416no—
650#6127—416no—
651C2×D52—42no—
652C2×D52—42no—
653C2×D52—42no—
654C2×D52—42no—
655C2×D52C2414yes—
656C2×D52C2414yes—
657C2×D52C2414yes—
658C2×D52C2414yes—
659C2×C4×D13—24no—
660C2×C4×D13—24no—
661C2×C4×D13—416no—
662C2×C4×D13—42no—
663C2×C4×D13—42no—
664C2×C4×D13—42no—
665C2×C4×D13—42no—
666C2×C4×D13—42no—
667C2×C4×D13—42no—
668C2×C4×D13C2414yes—
669C2×C4×D13C2414yes—
670C2×C4×D13C2414yes—
671C2×C4×D13C2414yes—
672C2×C4×D13C2414yes—
673C2×C4×D13C2414yes—
674C2×C4×D13C2414yes—
675C2×C4×D13C2414yes—
676C2×Dic26—24no—
677C2×Dic26—24no—
678C2×Dic26—416no—
679C2×Dic26—42no—
680C2×Dic26—42no—
681C2×Dic26—42no—
682C2×Dic26—42no—
683C2×Dic26—42no—
684C2×Dic26—42no—
685C2×Dic26C2414yes—
686C2×Dic26C2414yes—
687C2×Dic26C2414yes—
688C2×Dic26C2414yes—
689C2×Dic26C2414yes—
690C2×Dic26C2414yes—
691C2×Dic26C2414yes—
692C2×Dic26C2414yes—
693C13×C4⋊C4C2414yes—
694C13×C4⋊C4C2414yes—
695C13×C4⋊C4C2414yes—
696C13×C4⋊C4C2414yes—
697C13×C4⋊C4C2414yes—
698C13×C4⋊C4C2414yes—
699C13×C22⋊C4C2414yes—
700C13×C22⋊C4C2414yes—
701C13×C22⋊C4C2414yes—
702C13×C22⋊C4C2414yes—
703C13×C22⋊C4C2414yes—
704C13×C22⋊C4C2414yes—
705C13×C22⋊C4C2414yes—
706C13×C22⋊C4C2414yes—
707C13×C22⋊C4C2414yes—
708C13×C22⋊C4C2414yes—
709C13×C22⋊C4C2414yes—
710C13×C22⋊C4C2414yes—
711C13×C22⋊C4C2414yes—
712C13×C22⋊C4C2414yes—
713C42×C13C2414yes—
714C42×C13C2414yes—
715C22⋊Dic13C2414yes—
716C22⋊Dic13C2414yes—
717C22⋊Dic13C2414yes—
718C22⋊Dic13C2414yes—
719C22⋊Dic13C2414yes—
720C22⋊Dic13C2414yes—
721C22⋊Dic13C2414yes—
722C22⋊Dic13C2414yes—
723C22⋊Dic13C2414yes—
724C22⋊Dic13C2414yes—
725C22⋊Dic13C2414yes—
726C22⋊Dic13C2414yes—
727C22⋊Dic13C2414yes—
728C22⋊Dic13C2414yes—
729C22⋊Dic13C2414yes—
730C22⋊Dic13C2414yes—
731#6103C2414yes—
732#6103C2414yes—
733#6103C2414yes—
734#6103C2414yes—
735#6103C2414yes—
736#6103C2414yes—
737#6103C2414yes—
738#6103C2414yes—
739#6103C2414yes—
740#6103C2414yes—
741#6103C2414yes—
742#6103C2414yes—
743#6103C2414yes—
744#6103C2414yes—
745#6103C2414yes—
746#6103C2414yes—
747#6103C2414yes—
748#6103C2414yes—
749#6103C2414yes—
750#6103C2414yes—
751#6103C2414yes—
752#6103C2414yes—
753#6103C2414yes—
754#6103C2414yes—
755C4⋊Dic13C2414yes—
756C4⋊Dic13C2414yes—
757C4⋊Dic13C2414yes—
758C4⋊Dic13C2414yes—
759C4⋊Dic13C2414yes—
760C4⋊Dic13C2414yes—
761C4⋊Dic13C2414yes—
762C4⋊Dic13C2414yes—
763#6101C2414yes—
764#6101C2414yes—
765#6101C2414yes—
766#6101C2414yes—
767#6101C2414yes—
768#6101C2414yes—
769#6101C2414yes—
770#6101C2414yes—
771#6101C2414yes—
772#6101C2414yes—
773#6101C2414yes—
774#6101C2414yes—
775#6101C2414yes—
776#6101C2414yes—
777#6101C2414yes—
778#6101C2414yes—
779C4×Dic13C2414yes—
780C4×Dic13C2414yes—
781C4×Dic13C2414yes—
782C4×Dic13C2414yes—
783C4×Dic13C2414yes—
784C4×Dic13C2414yes—
785C4×Dic13C2414yes—
786C4×Dic13C2414yes—
787C4×Dic13C2414yes—
788C4×Dic13C2414yes—
789C4×Dic13C2414yes—
790C4×Dic13C2414yes—
791#3540—1332no—
792C2×H(3,𝔽4)—131no—
793C2×H(3,𝔽4)—131no—
794C2×#560—131no—
795C2×#560—131no—
796C2×#559—131no—
797C2×#559—131no—
798C2×#556—131no—
799C2×#556—131no—
800C2×#555—131no—
801C2×#555—131no—
802C2×#551—131no—
803C2×#551—131no—
804C2×#548—131no—
805C2×#548—131no—
806C2×#546—131no—
807C2×#546—131no—
808C2×#542—131no—
809C2×#542—131no—
810C2×#542—131no—
811C2×#542—131no—
812C2×#542—131no—
813C2×#542—131no—
814C2×#538—131no—
815C2×#538—131no—
816C2×#538—131no—
817C2×#538D1311yescharacteristic, complemented
818C2×#536—131no—
819C2×#535—131no—
820C2×#525—131no—
821C2×#525—131no—
822C2×#525—131no—
823C23×C13—22no—
824C23×C13—22no—
825C23×C13—22no—
826C23×C13—22no—
827C23×C13—22no—
828C23×C13—22no—
829C23×C13—22no—
830C23×C13—22no—
831C23×C13—22no—
832C23×C13—22no—
833C23×C13—22no—
834C23×C13—22no—
835C23×C13—22no—
836C23×C13—22no—
837C23×C13—22no—
838C23×C13—44no—
839C23×C13—44no—
840C23×C13—44no—
841C23×C13—88no—
842C23×C13C2512yes—
843C23×C13C2512yes—
844C23×C13C2512yes—
845C23×C13C2512yes—
846C23×C13C2512yes—
847C23×C13C2511yescharacteristic
848C22×D13—22no—
849C22×D13—22no—
850C22×D13—22no—
851C22×D13—22no—
852C22×D13—22no—
853C22×D13—22no—
854C22×D13—22no—
855C22×D13—22no—
856C22×D13—22no—
857C22×D13—22no—
858C22×D13—22no—
859C22×D13—22no—
860C22×D13—44no—
861C22×D13—44no—
862C22×D13—44no—
863C22×D13—44no—
864C22×D13—44no—
865C22×D13—44no—
866C22×D13—416no—
867C22×D13—88no—
868C22×D13C2512yes—
869C22×D13C2512yes—
870C22×D13C2512yes—
871C22×D13C2512yes—
872Q8×C13—44no—
873D4×C13—44no—
874D4×C13—44no—
875D4×C13—44no—
876D4×C13—44no—
877D4×C13—44no—
878D4×C13—44no—
879D4×C13—44no—
880C2×C4×C13—22no—
881C2×C4×C13—22no—
882C2×C4×C13—22no—
883C2×C4×C13—22no—
884C2×C4×C13—22no—
885C2×C4×C13—22no—
886C2×C4×C13—22no—
887C2×C4×C13—22no—
888C2×C4×C13—22no—
889C2×C4×C13—22no—
890C2×C4×C13—44no—
891C2×C4×C13—44no—
892C2×C4×C13—44no—
893C2×C4×C13—44no—
894C2×C4×C13C2512yes—
895C2×C4×C13C2512yes—
896C2×C4×C13C2512yes—
897C2×C4×C13C2512yes—
898C2×C4×C13C2512yes—
899C2×C4×C13C2512yes—
900C2×C4×C13C2512yes—
901C2×C4×C13C2512yes—
902C2×C4×C13C2512yes—
903C2×C4×C13C2512yes—
904C22⋊D13—28no—
905C22⋊D13—28no—
906C22⋊D13—44no—
907C22⋊D13—44no—
908C22⋊D13—44no—
909C22⋊D13—44no—
910C22⋊D13—44no—
911C22⋊D13—44no—
912C22⋊D13—44no—
913C22⋊D13—44no—
914C22⋊D13—44no—
915C22⋊D13—44no—
916C22⋊D13—44no—
917C22⋊D13—44no—
918C22⋊D13—44no—
919C22⋊D13—44no—
920C2×Dic13—22no—
921C2×Dic13—22no—
922C2×Dic13—22no—
923C2×Dic13—22no—
924C2×Dic13—22no—
925C2×Dic13—22no—
926C2×Dic13—22no—
927C2×Dic13—22no—
928C2×Dic13—22no—
929C2×Dic13—22no—
930C2×Dic13—22no—
931C2×Dic13—28no—
932C2×Dic13—28no—
933C2×Dic13—28no—
934C2×Dic13—44no—
935C2×Dic13—44no—
936C2×Dic13—44no—
937C2×Dic13H(5,𝔽2)14yes—
938C2×Dic13C2512yes—
939C2×Dic13C2512yes—
940C2×Dic13C2512yes—
941C2×Dic13C2512yes—
942C2×Dic13C2512yes—
943C2×Dic13C2512yes—
944C2×Dic13C2512yes—
945C2×Dic13C2512yes—
946C2×Dic13C2512yes—
947C2×Dic13C2512yes—
948C2×Dic13C2512yes—
949C2×Dic13C2512yes—
950D52—44no—
951D52—44no—
952D52—44no—
953D52—44no—
954C4×D13—28no—
955C4×D13—28no—
956C4×D13—44no—
957C4×D13—44no—
958C4×D13—44no—
959C4×D13—44no—
960C4×D13—44no—
961C4×D13—44no—
962Dic26—28no—
963Dic26—28no—
964Dic26—44no—
965Dic26—44no—
966Dic26—44no—
967Dic26—44no—
968Dic26—44no—
969Dic26—44no—
970C22×#41—131no—
971C22×#41—131no—
972C22×#41—131no—
973C23×Q8—131no—
974C23×D4—131no—
975C24×C4—131no—
976H(3,𝔽4)—1316no—
977H(3,𝔽4)—1316no—
978#560—1316no—
979#560—1316no—
980#559—1316no—
981#559—1316no—
982#556—1316no—
983#556—1316no—
984#555—1316no—
985#555—1316no—
986#551—1316no—
987#551—1316no—
988#548—1316no—
989#548—1316no—
990#546—1316no—
991#546—1316no—
992#542—1316no—
993#542—1316no—
994#542—1316no—
995#542—1316no—
996#542—1316no—
997#542—1316no—
998#538—1316no—
999#538—1316no—
1000#538—1316no—
1001#538C2×D13116yescomplemented
1002#536—1316no—
1003#535—1316no—
1004C2×C4⋊Q8—131no—
1005C2×C4⋊Q8—131no—
1006C2×C4⋊Q8—131no—
1007C2×C4⋊Q8—131no—
1008C2×#127—131no—
1009C2×#127—131no—
1010C2×#126—131no—
1011C2×#126—131no—
1012C2×#126—131no—
1013C2×#126—131no—
1014C2×#126—131no—
1015C2×#126—131no—
1016C2×#126—131no—
1017C2×#126—131no—
1018C2×#126—131no—
1019C2×#126—131no—
1020C2×#126C2×D1311yescharacteristic, complemented
1021C2×#126C2×D1311yescharacteristic, complemented
1022C2×#124—131no—
1023C2×#124—131no—
1024C2×#124—131no—
1025C2×#124—131no—
1026C2×#124—131no—
1027C2×#124—131no—
1028C2×#124—131no—
1029C2×#124—131no—
1030C2×#124—131no—
1031C2×#124—131no—
1032C2×#124—131no—
1033C2×#124—131no—
1034C2×#124—131no—
1035C2×#124—131no—
1036C2×#124—131no—
1037C2×#124—131no—
1038C2×#124—131no—
1039C2×#124—131no—
1040C2×#124—131no—
1041C2×#124—131no—
1042C2×#124—131no—
1043C2×#124—131no—
1044C2×#124—131no—
1045C2×#124—131no—
1046C2×#124C2×D1311yescharacteristic
1047C2×#124C2×D1311yescharacteristic, complemented
1048#525—1316no—
1049#525—1316no—
1050#525—1316no—
1051C2×#123—131no—
1052C2×#123—131no—
1053C2×#123—131no—
1054C2×#123—131no—
1055C2×#123—131no—
1056C2×#123—131no—
1057C2×#123—131no—
1058C2×#123—131no—
1059C2×#123—131no—
1060C2×#123—131no—
1061C2×#123—131no—
1062C2×#123—131no—
1063C2×#123—131no—
1064C2×#123—131no—
1065C2×#123—131no—
1066C2×#123—131no—
1067C2×#123C2×D1311yescharacteristic, complemented
1068C2×#123C2×D1311yescharacteristic, complemented
1069C2×C22⋊Q8—131no—
1070C2×C22⋊Q8—131no—
1071C2×C22⋊Q8—131no—
1072C2×C22⋊Q8—131no—
1073C2×C22⋊Q8—131no—
1074C2×C22⋊Q8—131no—
1075C2×C22⋊Q8—131no—
1076C2×C22⋊Q8—131no—
1077C2×C22⋊Q8—131no—
1078C2×C22⋊Q8—131no—
1079C2×C22⋊Q8—131no—
1080C2×C22⋊Q8—131no—
1081C2×C22⋊Q8—131no—
1082C2×C22⋊Q8—131no—
1083C2×C22⋊Q8—131no—
1084C2×C22⋊Q8C2×D1311yescharacteristic, complemented
1085C2×#121—131no—
1086C2×#121—131no—
1087C2×#121—131no—
1088C2×#121—131no—
1089C2×#121—131no—
1090C2×#121—131no—
1091C2×#121—131no—
1092C2×#121—131no—
1093C2×#121—131no—
1094C2×#121—131no—
1095C2×#121—131no—
1096C2×#121—131no—
1097C2×#121—131no—
1098C2×#121—131no—
1099C2×#121—131no—
1100C2×#121—131no—
1101C2×#121—131no—
1102C2×#121C2×D1311yescharacteristic
1103C2×#121C2×D1311yescharacteristic, complemented
1104C2×#121C2×D1311yescharacteristic, complemented
1105C2×#120—131no—
1106C2×#120—131no—
1107C2×#120—131no—
1108C2×#120—131no—
1109C2×#120—131no—
1110C2×#120—131no—
1111C2×#120—131no—
1112C2×#120—131no—
1113C2×#120—131no—
1114C2×#120—131no—
1115C2×#120—131no—
1116C2×#120—131no—
1117C2×#120C2×D1311yescharacteristic
1118C2×#120C2×D1311yescharacteristic, complemented
1119C2×C4×Q8—131no—
1120C2×C4×Q8—131no—
1121C2×C4×Q8—131no—
1122C2×C4×Q8—131no—
1123C2×C4×Q8—131no—
1124C2×C4×Q8—131no—
1125C2×C4×D4—131no—
1126C2×C4×D4—131no—
1127C2×C4×D4—131no—
1128C2×C4×D4—131no—
1129C2×C4×D4—131no—
1130C2×C4×D4—131no—
1131C2×C4×D4—131no—
1132C2×C4×D4—131no—
1133C2×C4×D4—131no—
1134C2×C4×D4—131no—
1135C2×C4×D4—131no—
1136C2×C4×D4—131no—
1137C2×C4×D4—131no—
1138C2×C4×D4—131no—
1139C2×C4×D4—131no—
1140C2×C4×D4—131no—
1141C2×C4×D4C2×D1311yescharacteristic, complemented
1142C2×C4×D4C2×D1311yescharacteristic, complemented
1143C2×#117—131no—
1144C2×#117—131no—
1145C2×#117—131no—
1146C2×#117—131no—
1147C2×#117—131no—
1148C2×#117—131no—
1149C2×#117—131no—
1150C2×#117—131no—
1151C2×#117—131no—
1152C22×C22⋊C4—131no—
1153C22×C22⋊C4—131no—
1154C22×C22⋊C4—131no—
1155C22×C22⋊C4C2×D1311yescharacteristic, complemented
1156C22×C13—22no—
1157C22×C13—22no—
1158C22×C13—22no—
1159C22×C13—22no—
1160C22×C13—22no—
1161C22×C13—22no—
1162C22×C13—22no—
1163C22×C13—22no—
1164C22×C13—22no—
1165C22×C13—22no—
1166C22×C13—22no—
1167C22×C13—22no—
1168C22×C13—22no—
1169C22×C13—22no—
1170C22×C13—22no—
1171C22×C13—44no—
1172C22×C13—44no—
1173C22×C13—44no—
1174C22×C13—44no—
1175C22×C13—44no—
1176C22×C13—88no—
1177C22×C13C2×H(5,𝔽2)12yes—
1178C22×C13#58512yes—
1179C22×C13#58512yes—
1180C22×C13C2611yescharacteristic
1181C2×D13—22no—
1182C2×D13—22no—
1183C2×D13—22no—
1184C2×D13—22no—
1185C2×D13—22no—
1186C2×D13—22no—
1187C2×D13—22no—
1188C2×D13—22no—
1189C2×D13—22no—
1190C2×D13—22no—
1191C2×D13—22no—
1192C2×D13—22no—
1193C2×D13—416no—
1194C2×D13—44no—
1195C2×D13—44no—
1196C2×D13—44no—
1197C2×D13—44no—
1198C2×D13—88no—
1199C4×C13—22no—
1200C4×C13—22no—
1201C4×C13—22no—
1202C4×C13—22no—
1203C4×C13—22no—
1204C4×C13—22no—
1205C4×C13—22no—
1206C4×C13—22no—
1207C4×C13—22no—
1208C4×C13—22no—
1209Dic13—22no—
1210Dic13—22no—
1211Dic13—22no—
1212Dic13—22no—
1213Dic13—22no—
1214Dic13—22no—
1215Dic13—22no—
1216Dic13—22no—
1217Dic13—22no—
1218Dic13—22no—
1219Dic13—22no—
1220Dic13C2×H(5,𝔽2)14yes—
1221C25—131no—
1222C25—131no—
1223C25C22×D1311yescharacteristic
1224C2×#41—138no—
1225C2×#41—138no—
1226C2×#41—138no—
1227C2×#41—524no—
1228C2×#41—524no—
1229C2×#41—524no—
1230C22×Q8—131no—
1231C22×Q8—131no—
1232C22×Q8—131no—
1233C22×Q8—131no—
1234C22×Q8—131no—
1235C22×Q8—131no—
1236C22×Q8—131no—
1237C22×Q8—131no—
1238C22×Q8—138no—
1239C22×Q8—524no—
1240C22×Q8C22×D1311yescharacteristic
1241C22×D4—131no—
1242C22×D4—131no—
1243C22×D4—131no—
1244C22×D4—131no—
1245C22×D4—131no—
1246C22×D4—131no—
1247C22×D4—131no—
1248C22×D4—131no—
1249C22×D4—131no—
1250C22×D4—131no—
1251C22×D4—131no—
1252C22×D4—131no—
1253C22×D4—131no—
1254C22×D4—131no—
1255C22×D4—131no—
1256C22×D4—131no—
1257C22×D4—138no—
1258C22×D4—131no—
1259C22×D4—131no—
1260C22×D4—131no—
1261C22×D4—131no—
1262C22×D4—524no—
1263C22×D4C22×D1311yescharacteristic
1264C22×D4C22×D1311yescharacteristic
1265C22×D4C22×D1311yescharacteristic
1266C22×D4C22×D1311yescharacteristic
1267C22×D4C22×D1311yescharacteristic
1268C22×D4C22×D1311yescharacteristic
1269C22×D4C22×D1311yescharacteristic
1270C23×C4—131no—
1271C23×C4—131no—
1272C23×C4—131no—
1273C23×C4—131no—
1274C23×C4—131no—
1275C23×C4—131no—
1276C23×C4—131no—
1277C23×C4—131no—
1278C23×C4—131no—
1279C23×C4—131no—
1280C23×C4—131no—
1281C23×C4—131no—
1282C23×C4—131no—
1283C23×C4—131no—
1284C23×C4—138no—
1285C23×C4—524no—
1286C23×C4C22×D1311yescharacteristic
1287C23×C4C22×D1311yescharacteristic
1288C23×C4C22×D1311yescharacteristic
1289C23×C4C22×D1311yescharacteristic
1290C4⋊Q8—138no—
1291C4⋊Q8—138no—
1292C4⋊Q8—138no—
1293C4⋊Q8—138no—
1294#127—138no—
1295#127—138no—
1296#126—138no—
1297#126—138no—
1298#126—138no—
1299#126—138no—
1300#126—138no—
1301#126—138no—
1302#126—138no—
1303#126—138no—
1304#126—138no—
1305#126—138no—
1306#126C22×D1318yescomplemented
1307#126C22×D1318yescomplemented
1308#124—138no—
1309#124—138no—
1310#124—138no—
1311#124—138no—
1312#124—138no—
1313#124—138no—
1314#124—138no—
1315#124—138no—
1316#124—138no—
1317#124—138no—
1318#124—138no—
1319#124—138no—
1320#124—138no—
1321#124—138no—
1322#124—138no—
1323#124—138no—
1324#124—138no—
1325#124—138no—
1326#124—138no—
1327#124—138no—
1328#124—138no—
1329#124—138no—
1330#124—138no—
1331#124—138no—
1332#124C22×D1318yes—
1333#124C22×D1318yescomplemented
1334#123—138no—
1335#123—138no—
1336#123—138no—
1337#123—138no—
1338#123—138no—
1339#123—138no—
1340#123—138no—
1341#123—138no—
1342#123—138no—
1343#123—138no—
1344#123—138no—
1345#123—138no—
1346#123—138no—
1347#123—138no—
1348#123—138no—
1349#123—138no—
1350#123C22×D1318yescomplemented
1351#123C22×D1318yescomplemented
1352C22⋊Q8—138no—
1353C22⋊Q8—138no—
1354C22⋊Q8—138no—
1355C22⋊Q8—138no—
1356C22⋊Q8—138no—
1357C22⋊Q8—138no—
1358C22⋊Q8—138no—
1359C22⋊Q8—138no—
1360C22⋊Q8—138no—
1361C22⋊Q8—138no—
1362C22⋊Q8—138no—
1363C22⋊Q8—138no—
1364C22⋊Q8—138no—
1365C22⋊Q8—138no—
1366C22⋊Q8—138no—
1367C22⋊Q8C22×D1318yescomplemented
1368#121—138no—
1369#121—138no—
1370#121—138no—
1371#121—138no—
1372#121—138no—
1373#121—138no—
1374#121—138no—
1375#121—138no—
1376#121—138no—
1377#121—138no—
1378#121—138no—
1379#121—138no—
1380#121—138no—
1381#121—138no—
1382#121—138no—
1383#121—138no—
1384#121—138no—
1385#121C22×D1318yes—
1386#121C22×D1318yescomplemented
1387#121C22×D1318yescomplemented
1388#120—138no—
1389#120—138no—
1390#120—138no—
1391#120—138no—
1392#120—138no—
1393#120—138no—
1394#120—138no—
1395#120—138no—
1396#120—138no—
1397#120—138no—
1398#120—138no—
1399#120—138no—
1400#120C22×D1318yes—
1401#120C22×D1318yescomplemented
1402C4×Q8—138no—
1403C4×Q8—138no—
1404C4×Q8—138no—
1405C4×Q8—138no—
1406C4×Q8—138no—
1407C4×Q8—138no—
1408C4×D4—138no—
1409C4×D4—138no—
1410C4×D4—138no—
1411C4×D4—138no—
1412C4×D4—138no—
1413C4×D4—138no—
1414C4×D4—138no—
1415C4×D4—138no—
1416C4×D4—138no—
1417C4×D4—138no—
1418C4×D4—138no—
1419C4×D4—138no—
1420C4×D4—138no—
1421C4×D4—138no—
1422C4×D4—138no—
1423C4×D4—138no—
1424C4×D4C22×D1318yescomplemented
1425C4×D4C22×D1318yescomplemented
1426#117—138no—
1427#117—138no—
1428#117—138no—
1429#117—138no—
1430#117—138no—
1431#117—138no—
1432#117—138no—
1433#117—138no—
1434#117—138no—
1435C2×C4⋊C4—131no—
1436C2×C4⋊C4—131no—
1437C2×C4⋊C4—131no—
1438C2×C4⋊C4—131no—
1439C2×C4⋊C4—131no—
1440C2×C4⋊C4—131no—
1441C2×C4⋊C4—131no—
1442C2×C4⋊C4—131no—
1443C2×C4⋊C4—131no—
1444C2×C4⋊C4—131no—
1445C2×C4⋊C4—131no—
1446C2×C4⋊C4—131no—
1447C2×C4⋊C4—131no—
1448C2×C4⋊C4—131no—
1449C2×C4⋊C4—131no—
1450C2×C4⋊C4—131no—
1451C2×C4⋊C4—131no—
1452C2×C4⋊C4—131no—
1453C2×C4⋊C4—131no—
1454C2×C4⋊C4—131no—
1455C2×C4⋊C4—131no—
1456C2×C4⋊C4—131no—
1457C2×C4⋊C4—131no—
1458C2×C4⋊C4—131no—
1459C2×C4⋊C4C22×D1311yescharacteristic
1460C2×C4⋊C4C22×D1311yescharacteristic
1461C2×C4⋊C4C22×D1311yescharacteristic
1462C2×C4⋊C4C22×D1311yescharacteristic
1463C2×C4⋊C4C22×D1311yescharacteristic
1464C2×C4⋊C4C22×D1311yescharacteristic
1465C2×C22⋊C4—131no—
1466C2×C22⋊C4—131no—
1467C2×C22⋊C4—131no—
1468C2×C22⋊C4—131no—
1469C2×C22⋊C4—131no—
1470C2×C22⋊C4—138no—
1471C2×C22⋊C4—131no—
1472C2×C22⋊C4—131no—
1473C2×C22⋊C4—131no—
1474C2×C22⋊C4—131no—
1475C2×C22⋊C4—131no—
1476C2×C22⋊C4—131no—
1477C2×C22⋊C4—131no—
1478C2×C22⋊C4—131no—
1479C2×C22⋊C4—131no—
1480C2×C22⋊C4—131no—
1481C2×C22⋊C4—131no—
1482C2×C22⋊C4—131no—
1483C2×C22⋊C4—131no—
1484C2×C22⋊C4—131no—
1485C2×C22⋊C4—131no—
1486C2×C22⋊C4—131no—
1487C2×C22⋊C4—131no—
1488C2×C22⋊C4—131no—
1489C2×C22⋊C4—131no—
1490C2×C22⋊C4—131no—
1491C2×C22⋊C4—131no—
1492C2×C22⋊C4—131no—
1493C2×C22⋊C4—131no—
1494C2×C22⋊C4—131no—
1495C2×C22⋊C4—131no—
1496C2×C22⋊C4—131no—
1497C2×C22⋊C4—131no—
1498C2×C22⋊C4—131no—
1499C2×C22⋊C4—131no—
1500C2×C22⋊C4—131no—
1501C2×C22⋊C4—131no—
1502C2×C22⋊C4—131no—
1503C2×C22⋊C4—131no—
1504C2×C22⋊C4—131no—
1505C2×C22⋊C4—131no—
1506C2×C22⋊C4—138no—
1507C2×C22⋊C4—138no—
1508C2×C22⋊C4C22×D1311yescharacteristic
1509C2×C22⋊C4C22×D1311yescharacteristic
1510C2×C22⋊C4C22×D1311yescharacteristic
1511C2×C22⋊C4C22×D1311yescharacteristic
1512C2×C22⋊C4C22×D1311yescharacteristic
1513C2×C22⋊C4C22×D1311yescharacteristic
1514C2×C22⋊C4C22×D1311yescharacteristic
1515C2×C22⋊C4C22×D1311yescharacteristic
1516C2×C22⋊C4C22×D1311yescharacteristic
1517C2×C22⋊C4C22×D1311yescharacteristic
1518C2×C22⋊C4C22×D1311yescharacteristic
1519C2×C22⋊C4C22×D1311yescharacteristic
1520C2×C22⋊C4C22×D1311yescharacteristic
1521C2×C22⋊C4C22×D1311yescharacteristic
1522C2×C22⋊C4C22×D1318yescomplemented
1523C2×C42—131no—
1524C2×C42—131no—
1525C2×C42—131no—
1526C2×C42—131no—
1527C2×C42—131no—
1528C2×C42—131no—
1529C2×C42—131no—
1530C2×C42—131no—
1531C2×C42—131no—
1532C2×C42—131no—
1533C2×C42—131no—
1534C2×C42—131no—
1535C2×C42C22×D1311yescharacteristic
1536C2×C42C22×D1311yescharacteristic
1537C2×C13—42no—
1538C2×C13—42no—
1539C2×C13—42no—
1540C2×C13—42no—
1541C2×C13—42no—
1542C2×C13#354014yescomplemented
1543C2×C13C22×H(5,𝔽2)11yescharacteristic
1544C2×C13C2×#58511yescharacteristic
1545C2×C13C2×#58511yescharacteristic
1546D13—42no—
1547D13—42no—
1548D13—42no—
1549D13—42no—
1550C24—42no—
1551C24—42no—
1552C24—42no—
1553C24—131no—
1554C24—131no—
1555C24—131no—
1556C24—131no—
1557C24—134no—
1558C24—134no—
1559C24—522no—
1560C24—522no—
1561C24—522no—
1562C24—522no—
1563C24—522no—
1564C24—522no—
1565C24C23×D1311yescharacteristic
1566C24C23×D1311yescharacteristic
1567C24C23×D1311yescharacteristic
1568C24C23×D1311yescharacteristic
1569C24C23×D1311yescharacteristic
1570C24C23×D1314yes—
1571#41—5216no—
1572#41—5216no—
1573#41—5216no—
1574C2×Q8—42no—
1575C2×Q8—134no—
1576C2×Q8—134no—
1577C2×Q8—134no—
1578C2×Q8—134no—
1579C2×Q8—134no—
1580C2×Q8—134no—
1581C2×Q8—134no—
1582C2×Q8—134no—
1583C2×Q8—264no—
1584C2×Q8—264no—
1585C2×Q8—522no—
1586C2×Q8—522no—
1587C2×Q8—522no—
1588C2×Q8—522no—
1589C2×Q8—522no—
1590C2×Q8—522no—
1591C2×Q8—5216no—
1592C2×Q8C23×D1314yes—
1593C2×D4—42no—
1594C2×D4—42no—
1595C2×D4—42no—
1596C2×D4—42no—
1597C2×D4—42no—
1598C2×D4—42no—
1599C2×D4—42no—
1600C2×D4—134no—
1601C2×D4—134no—
1602C2×D4—134no—
1603C2×D4—134no—
1604C2×D4—134no—
1605C2×D4—134no—
1606C2×D4—134no—
1607C2×D4—134no—
1608C2×D4—134no—
1609C2×D4—134no—
1610C2×D4—134no—
1611C2×D4—134no—
1612C2×D4—134no—
1613C2×D4—134no—
1614C2×D4—134no—
1615C2×D4—134no—
1616C2×D4—134no—
1617C2×D4—134no—
1618C2×D4—134no—
1619C2×D4—134no—
1620C2×D4—264no—
1621C2×D4—264no—
1622C2×D4—522no—
1623C2×D4—522no—
1624C2×D4—522no—
1625C2×D4—522no—
1626C2×D4—5216no—
1627C2×D4—522no—
1628C2×D4—522no—
1629C2×D4—522no—
1630C2×D4—522no—
1631C2×D4—522no—
1632C2×D4—522no—
1633C2×D4—522no—
1634C2×D4—522no—
1635C2×D4—522no—
1636C2×D4—522no—
1637C2×D4—522no—
1638C2×D4—522no—
1639C2×D4—522no—
1640C2×D4—522no—
1641C2×D4C23×D1314yes—
1642C2×D4C23×D1314yes—
1643C2×D4C23×D1314yes—
1644C2×D4C23×D1314yes—
1645C2×D4C23×D1314yes—
1646C2×D4C23×D1314yes—
1647C2×D4C23×D1314yes—
1648C22×C4—42no—
1649C22×C4—42no—
1650C22×C4—42no—
1651C22×C4—42no—
1652C22×C4—131no—
1653C22×C4—134no—
1654C22×C4—134no—
1655C22×C4—134no—
1656C22×C4—131no—
1657C22×C4—131no—
1658C22×C4—131no—
1659C22×C4—131no—
1660C22×C4—131no—
1661C22×C4—131no—
1662C22×C4—131no—
1663C22×C4—131no—
1664C22×C4—131no—
1665C22×C4—131no—
1666C22×C4—131no—
1667C22×C4—134no—
1668C22×C4—134no—
1669C22×C4—134no—
1670C22×C4—134no—
1671C22×C4—134no—
1672C22×C4—134no—
1673C22×C4—134no—
1674C22×C4—134no—
1675C22×C4—134no—
1676C22×C4—134no—
1677C22×C4—134no—
1678C22×C4—264no—
1679C22×C4—264no—
1680C22×C4—264no—
1681C22×C4—264no—
1682C22×C4—264no—
1683C22×C4—522no—
1684C22×C4—522no—
1685C22×C4—522no—
1686C22×C4—522no—
1687C22×C4—522no—
1688C22×C4—522no—
1689C22×C4—5216no—
1690C22×C4—522no—
1691C22×C4—522no—
1692C22×C4—522no—
1693C22×C4C23×D1311yescharacteristic
1694C22×C4C23×D1311yescharacteristic
1695C22×C4C23×D1311yescharacteristic
1696C22×C4C23×D1311yescharacteristic
1697C22×C4C23×D1311yescharacteristic
1698C22×C4C23×D1311yescharacteristic
1699C22×C4C23×D1311yescharacteristic
1700C22×C4C23×D1311yescharacteristic
1701C22×C4C23×D1311yescharacteristic
1702C22×C4C23×D1311yescharacteristic
1703C22×C4C23×D1314yes—
1704C22×C4C23×D1314yes—
1705C22×C4C23×D1314yes—
1706C22×C4C23×D1314yes—
1707C4⋊C4—134no—
1708C4⋊C4—134no—
1709C4⋊C4—134no—
1710C4⋊C4—134no—
1711C4⋊C4—134no—
1712C4⋊C4—134no—
1713C4⋊C4—134no—
1714C4⋊C4—134no—
1715C4⋊C4—134no—
1716C4⋊C4—134no—
1717C4⋊C4—134no—
1718C4⋊C4—134no—
1719C4⋊C4—134no—
1720C4⋊C4—134no—
1721C4⋊C4—134no—
1722C4⋊C4—134no—
1723C4⋊C4—134no—
1724C4⋊C4—134no—
1725C4⋊C4—134no—
1726C4⋊C4—134no—
1727C4⋊C4—134no—
1728C4⋊C4—134no—
1729C4⋊C4—134no—
1730C4⋊C4—134no—
1731C4⋊C4C23×D1314yes—
1732C4⋊C4C23×D1314yes—
1733C4⋊C4C23×D1314yes—
1734C4⋊C4C23×D1314yes—
1735C4⋊C4C23×D1314yes—
1736C4⋊C4C23×D1314yes—
1737C22⋊C4—134no—
1738C22⋊C4—134no—
1739C22⋊C4—134no—
1740C22⋊C4—134no—
1741C22⋊C4—134no—
1742C22⋊C4—134no—
1743C22⋊C4—134no—
1744C22⋊C4—134no—
1745C22⋊C4—134no—
1746C22⋊C4—134no—
1747C22⋊C4—134no—
1748C22⋊C4—134no—
1749C22⋊C4—134no—
1750C22⋊C4—134no—
1751C22⋊C4—134no—
1752C22⋊C4—134no—
1753C22⋊C4—134no—
1754C22⋊C4—134no—
1755C22⋊C4—134no—
1756C22⋊C4—134no—
1757C22⋊C4—134no—
1758C22⋊C4—134no—
1759C22⋊C4—134no—
1760C22⋊C4—134no—
1761C22⋊C4—134no—
1762C22⋊C4—134no—
1763C22⋊C4—134no—
1764C22⋊C4—134no—
1765C22⋊C4—134no—
1766C22⋊C4—134no—
1767C22⋊C4—134no—
1768C22⋊C4—134no—
1769C22⋊C4—134no—
1770C22⋊C4—134no—
1771C22⋊C4—134no—
1772C22⋊C4—134no—
1773C22⋊C4—134no—
1774C22⋊C4—134no—
1775C22⋊C4—134no—
1776C22⋊C4—134no—
1777C22⋊C4C23×D1314yes—
1778C22⋊C4C23×D1314yes—
1779C22⋊C4C23×D1314yes—
1780C22⋊C4C23×D1314yes—
1781C22⋊C4C23×D1314yes—
1782C22⋊C4C23×D1314yes—
1783C22⋊C4C23×D1314yes—
1784C22⋊C4C23×D1314yes—
1785C22⋊C4C23×D1314yes—
1786C22⋊C4C23×D1314yes—
1787C22⋊C4C23×D1314yes—
1788C22⋊C4C23×D1314yes—
1789C22⋊C4C23×D1314yes—
1790C22⋊C4C23×D1314yes—
1791C42—134no—
1792C42—134no—
1793C42—134no—
1794C42—134no—
1795C42—134no—
1796C42—134no—
1797C42—134no—
1798C42—134no—
1799C42—134no—
1800C42—134no—
1801C42—134no—
1802C42—134no—
1803C42C23×D1314yes—
1804C42C23×D1314yes—
1805C13C2×#354011yescharacteristic, complemented, Sylow
1806C23—22no—
1807C23—22no—
1808C23—22no—
1809C23—22no—
1810C23—22no—
1811C23—22no—
1812C23—22no—
1813C23—22no—
1814C23—22no—
1815C23—22no—
1816C23—22no—
1817C23—22no—
1818C23—22no—
1819C23—22no—
1820C23—22no—
1821C23—44no—
1822C23—44no—
1823C23—44no—
1824C23—88no—
1825C23—132no—
1826C23—132no—
1827C23—132no—
1828C23—132no—
1829C23—262no—
1830C23—262no—
1831C23—262no—
1832C23—262no—
1833C23—262no—
1834C23—262no—
1835C23—262no—
1836C23—262no—
1837C23—262no—
1838C23—262no—
1839C23—262no—
1840C23—262no—
1841C23—524no—
1842C23—524no—
1843C23—524no—
1844C23—524no—
1845C23—524no—
1846C23—524no—
1847C23—5216no—
1848C23—1048no—
1849C23C24×D1312yes—
1850C23C24×D1312yes—
1851C23C24×D1312yes—
1852C23C24×D1312yes—
1853C23C24×D1312yes—
1854C23C24×D1311yescharacteristic
1855Q8—44no—
1856Q8—268no—
1857Q8—268no—
1858Q8—524no—
1859Q8—524no—
1860Q8—524no—
1861Q8—524no—
1862Q8—524no—
1863Q8—524no—
1864D4—44no—
1865D4—44no—
1866D4—44no—
1867D4—44no—
1868D4—44no—
1869D4—44no—
1870D4—44no—
1871D4—268no—
1872D4—268no—
1873D4—524no—
1874D4—524no—
1875D4—524no—
1876D4—524no—
1877D4—524no—
1878D4—524no—
1879D4—524no—
1880D4—524no—
1881D4—524no—
1882D4—524no—
1883D4—524no—
1884D4—524no—
1885D4—524no—
1886D4—524no—
1887D4—524no—
1888D4—524no—
1889D4—524no—
1890D4—524no—
1891C2×C4—22no—
1892C2×C4—22no—
1893C2×C4—22no—
1894C2×C4—22no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—22no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—134no—
1906C2×C4—132no—
1907C2×C4—132no—
1908C2×C4—132no—
1909C2×C4—132no—
1910C2×C4—132no—
1911C2×C4—132no—
1912C2×C4—132no—
1913C2×C4—132no—
1914C2×C4—132no—
1915C2×C4—132no—
1916C2×C4—132no—
1917C2×C4—132no—
1918C2×C4—268no—
1919C2×C4—268no—
1920C2×C4—268no—
1921C2×C4—268no—
1922C2×C4—268no—
1923C2×C4—262no—
1924C2×C4—262no—
1925C2×C4—262no—
1926C2×C4—262no—
1927C2×C4—262no—
1928C2×C4—262no—
1929C2×C4—262no—
1930C2×C4—262no—
1931C2×C4—262no—
1932C2×C4—262no—
1933C2×C4—262no—
1934C2×C4—524no—
1935C2×C4—524no—
1936C2×C4—524no—
1937C2×C4—524no—
1938C2×C4—524no—
1939C2×C4—524no—
1940C2×C4—524no—
1941C2×C4—524no—
1942C2×C4—524no—
1943C2×C4C24×D1312yes—
1944C2×C4C24×D1312yes—
1945C2×C4C24×D1312yes—
1946C2×C4C24×D1312yes—
1947C2×C4C24×D1312yes—
1948C2×C4C24×D1312yes—
1949C2×C4C24×D1312yes—
1950C2×C4C24×D1312yes—
1951C2×C4C24×D1312yes—
1952C2×C4C24×D1312yes—
1953C22—22no—
1954C22—22no—
1955C22—22no—
1956C22—22no—
1957C22—22no—
1958C22—22no—
1959C22—22no—
1960C22—22no—
1961C22—22no—
1962C22—22no—
1963C22—22no—
1964C22—22no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—44no—
1969C22—44no—
1970C22—44no—
1971C22—44no—
1972C22—44no—
1973C22—88no—
1974C22—262no—
1975C22—262no—
1976C22—262no—
1977C22—262no—
1978C22—262no—
1979C22—262no—
1980C22—262no—
1981C22—262no—
1982C22—262no—
1983C22—262no—
1984C22—262no—
1985C22—262no—
1986C22—5216no—
1987C22—524no—
1988C22—524no—
1989C22—524no—
1990C22—524no—
1991C22—1048no—
1992C22#1171964812yes—
1993C22D13×H(5,𝔽2)12yes—
1994C22#1171965012yes—
1995C22C25×D1311yescharacteristic
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—22no—
2000C4—22no—
2001C4—22no—
2002C4—22no—
2003C4—22no—
2004C4—22no—
2005C4—22no—
2006C4—134no—
2007C4—262no—
2008C4—262no—
2009C4—262no—
2010C4—262no—
2011C4—262no—
2012C4—262no—
2013C4—262no—
2014C4—262no—
2015C4—262no—
2016C4—262no—
2017C4—262no—
2018C2—42no—
2019C2—42no—
2020C2—42no—
2021C2—42no—
2022C2—42no—
2023C2—522no—
2024C2—522no—
2025C2—522no—
2026C2—522no—
2027C2#1312910714yesdirect product factor
2028C2C2×D13×H(5,𝔽2)11yescharacteristic
2029C2C2×#1171965011yescharacteristic
2030C2C2×#1171964811yescharacteristic
subgroupG/H
centerC23C24×D13
commutator, cosocleC22×C13C26
FrattiniC22C25×D13
FittingC2×C13×#538C2
socleC23×C13C25
hypercenterC2×#538D13
hypocenterC13C2×#3540
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#538

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #13129107C2direct (N × H)
2. C2×#11719299C2semidirect
3. C2×#11719388C2semidirect
4. C2×#11719325C2semidirect
5. C2×#11719325C2semidirect
6. C2×#11719264C2semidirect
7. C2×#11719386C2semidirect
8. C2×#11719376C2semidirect
9. C2×#11719407C2semidirect
10. C2×#11719321C2semidirect
11. C2×#11719375C2semidirect
12. C2×#11719200C2semidirect
13. C2×#11719410C2semidirect
14. C2×#11719257C2semidirect
15. C2×#11719303C2semidirect
16. C2×#11719195C2semidirect
17. C2×#11719296C2semidirect
18. C2×#11719348C2semidirect
19. C2×#11719345C2semidirect
20. C2×#11719367C2semidirect
21. C2×#11719415C2semidirect
22. C2×#11719415C2semidirect
23. C2×#11719266C2semidirect
24. C2×#11719362C2semidirect
25. C2×#11719298C2semidirect
26. C2×#11719318C2semidirect
27. C2×#11719353C2semidirect
28. C2×#11719297C2semidirect
29. C2×#11719311C2semidirect
30. C2×#11719252C2semidirect
31. C2×#11719361C2semidirect
32. C2×C13×#538C2semidirect
33. C23×C22⋊D13C22semidirect
37. C23×C4×D13C22semidirect
38. C23×Dic26C22semidirect
39. C13×#538C22semidirect
40. C2×C13×#126C22semidirect
41. C2×C13×#126C22semidirect
43. C2×C13×#124C22semidirect
44. C2×C13×#123C22semidirect
45. C2×C13×#123C22semidirect
46. C2×C13×C22⋊Q8C22semidirect
48. C2×C13×#121C22semidirect
49. C2×C13×#121C22semidirect
51. C2×C13×#120C22semidirect
52. C2×C4×D4×C13C22semidirect
53. C2×C4×D4×C13C22semidirect
54. C22×C13×C22⋊C4C22semidirect
57. C22×C22⋊Dic13C22semidirect
58. C2×#88201C22semidirect
59. C2×#88201C22semidirect
60. C2×Q8×Dic13C22semidirect
61. C2×#88198C22semidirect
66. C2×#88193C22semidirect
67. C2×#88193C22semidirect
68. C2×#88193C22semidirect
69. C2×#88193C22semidirect
70. C2×#88193C22semidirect
73. C2×#88192C22semidirect
76. C2×#88191C22semidirect
77. C2×#88191C22semidirect
78. C2×#88191C22semidirect
79. C2×#88191C22semidirect
81. C2×#88190C22semidirect
82. C2×#88190C22semidirect
83. C2×#88190C22semidirect
84. C2×#88189C22semidirect
86. C2×D4×Dic13C22semidirect
87. C2×D4×Dic13C22semidirect
89. C2×#88184C22semidirect
90. C2×#88183C22semidirect
91. C2×#88183C22semidirect
92. C2×#88183C22semidirect
93. C2×#88183C22semidirect
94. C2×C4×C22⋊D13C22semidirect
95. C2×C4×C22⋊D13C22semidirect
96. C2×C4×C22⋊D13C22semidirect
97. C2×C4×C22⋊D13C22semidirect
98. C2×#88180C22semidirect
99. C2×#88178C22semidirect
100. C2×#88178C22semidirect
101. #11719415C22semidirect
102. #11719415C22semidirect
103. #11719410C22semidirect
104. #11719407C22semidirect
105. #11719388C22semidirect
106. #11719386C22semidirect
107. #11719376C22semidirect
108. #11719375C22semidirect
109. #11719367C22semidirect
110. #11719362C22semidirect
111. #11719361C22semidirect
112. #11719353C22semidirect
113. #11719348C22semidirect
114. #11719345C22semidirect
115. #11719325C22semidirect
116. #11719325C22semidirect
117. #11719321C22semidirect
118. #11719318C22semidirect
119. #11719311C22semidirect
120. #11719303C22semidirect
121. #11719299C22semidirect
122. #11719298C22semidirect
123. #11719297C22semidirect
124. #11719296C22semidirect
125. #11719266C22semidirect
126. #11719264C22semidirect
127. #11719257C22semidirect
128. #11719252C22semidirect
129. C2×#88152C22semidirect
130. C2×#88152C22semidirect
131. C2×#88152C22semidirect
132. C2×#88152C22semidirect
133. C2×#88151C22semidirect
134. C2×#88151C22semidirect
135. C2×#88151C22semidirect
136. C2×#88150C22semidirect
137. C2×#88150C22semidirect
138. C2×#88150C22semidirect
139. C2×#88150C22semidirect
140. C2×#88150C22semidirect
141. C2×#88148C22semidirect
142. C2×#88148C22semidirect
143. C2×#88148C22semidirect
144. C2×#88147C22semidirect
145. C2×#88147C22semidirect
146. C2×#88146C22semidirect
147. C2×#88146C22semidirect
148. C2×#88142C22semidirect
149. C2×#88142C22semidirect
150. C2×#88142C22semidirect
151. C2×#88141C22semidirect
152. C2×#88141C22semidirect
153. #11719200C22semidirect
154. C2×#88140C22semidirect
155. C2×#88140C22semidirect
156. C2×#88140C22semidirect
161. C2×#88139C22semidirect
162. C2×#88139C22semidirect
163. C2×#88139C22semidirect
164. C2×#88139C22semidirect
165. C2×#88139C22semidirect
166. C2×#88139C22semidirect
167. C2×#88139C22semidirect
168. C2×#88139C22semidirect
169. C2×#88139C22semidirect
170. C2×#88139C22semidirect
171. C2×#88139C22semidirect
172. C2×#88139C22semidirect
173. #11719195C22semidirect
178. C2×#88138C22semidirect
180. C2×#88137C22semidirect
181. C2×#88137C22semidirect
182. C2×#88137C22semidirect
183. C2×#88137C22semidirect
186. C2×#88136C22semidirect
187. C2×#88136C22semidirect
189. C2×#88135C22semidirect
190. C2×#88135C22semidirect
191. C2×#88135C22semidirect
192. C2×#88135C22semidirect
193. C2×#88135C22semidirect
194. C2×C22⋊C4×D13C22semidirect
195. C2×C22⋊C4×D13C22semidirect
196. C2×#88133C22semidirect
197. C2×#88133C22semidirect
198. C2×#88133C22semidirect
199. C2×#88133C22semidirect
200. C2×#88133C22semidirect
201. C2×#88133C22semidirect
202. C2×#88132C22semidirect
203. C2×#88132C22semidirect
204. C2×#88132C22semidirect
205. C2×#88132C22semidirect
206. C2×#88132C22semidirect
207. C2×#88131C22semidirect
208. C2×#88131C22semidirect
209. C2×#88131C22semidirect
210. C2×#88131C22semidirect
211. C2×#88129C22semidirect
212. C2×#88129C22semidirect
213. C2×C4×D52C22semidirect
214. C2×#88126C22semidirect
215. C2×#88126C22semidirect
216. C2×C4×Dic26C22semidirect
217. C2×C4×Dic26C22semidirect
218. C2×C4×Dic26C22semidirect
251. C22×C22⋊D13C23semidirect
277. C22×C4×D13C23semidirect
287. C22×Dic26C23semidirect
288. C13×#126C23semidirect
289. C13×#126C23semidirect
291. C13×#124C23semidirect
292. C13×#123C23semidirect
293. C13×#123C23semidirect
294. C13×C22⋊Q8C23semidirect
296. C13×#121C23semidirect
297. C13×#121C23semidirect
299. C13×#120C23semidirect
300. C4×D4×C13C23semidirect
301. C4×D4×C13C23semidirect
322. C2×C13×C22⋊C4C23semidirect
343. C2×C22⋊Dic13C23semidirect
344. #88201C23semidirect
345. #88201C23semidirect
346. Q8×Dic13C23semidirect
347. #88198C23semidirect
352. #88193C23semidirect
353. #88193C23semidirect
354. #88193C23semidirect
355. #88193C23semidirect
356. #88193C23semidirect
359. #88192C23semidirect
362. #88191C23semidirect
363. #88191C23semidirect
364. #88191C23semidirect
365. #88191C23semidirect
367. #88190C23semidirect
368. #88190C23semidirect
369. #88190C23semidirect
370. #88189C23semidirect
372. D4×Dic13C23semidirect
373. D4×Dic13C23semidirect
375. #88184C23semidirect
376. #88183C23semidirect
377. #88183C23semidirect
378. #88183C23semidirect
379. #88183C23semidirect
380. C4×C22⋊D13C23semidirect
381. C4×C22⋊D13C23semidirect
382. C4×C22⋊D13C23semidirect
383. C4×C22⋊D13C23semidirect
408. #88180C23semidirect
417. #88178C23semidirect
418. #88178C23semidirect
447. #88152C23semidirect
448. #88152C23semidirect
449. #88152C23semidirect
450. #88152C23semidirect
451. #88151C23semidirect
452. #88151C23semidirect
453. #88151C23semidirect
454. #88150C23semidirect
455. #88150C23semidirect
456. #88150C23semidirect
457. #88150C23semidirect
458. #88150C23semidirect
459. #88148C23semidirect
460. #88148C23semidirect
461. #88148C23semidirect
462. #88147C23semidirect
463. #88147C23semidirect
464. #88146C23semidirect
465. #88146C23semidirect
466. #88142C23semidirect
467. #88142C23semidirect
468. #88142C23semidirect
469. #88141C23semidirect
470. #88141C23semidirect
471. #88140C23semidirect
472. #88140C23semidirect
473. #88140C23semidirect
478. #88139C23semidirect
479. #88139C23semidirect
480. #88139C23semidirect
481. #88139C23semidirect
482. #88139C23semidirect
483. #88139C23semidirect
484. #88139C23semidirect
485. #88139C23semidirect
486. #88139C23semidirect
487. #88139C23semidirect
488. #88139C23semidirect
489. #88139C23semidirect
494. #88138C23semidirect
496. #88137C23semidirect
497. #88137C23semidirect
498. #88137C23semidirect
499. #88137C23semidirect
502. #88136C23semidirect
503. #88136C23semidirect
505. #88135C23semidirect
506. #88135C23semidirect
507. #88135C23semidirect
508. #88135C23semidirect
509. #88135C23semidirect
510. C22⋊C4×D13C23semidirect
511. C22⋊C4×D13C23semidirect
512. #88133C23semidirect
513. #88133C23semidirect
514. #88133C23semidirect
515. #88133C23semidirect
516. #88133C23semidirect
517. #88133C23semidirect
518. #88132C23semidirect
519. #88132C23semidirect
520. #88132C23semidirect
521. #88132C23semidirect
522. #88132C23semidirect
523. #88131C23semidirect
524. #88131C23semidirect
525. #88131C23semidirect
526. #88131C23semidirect
527. #88129C23semidirect
528. #88129C23semidirect
529. C4×D52C23semidirect
530. #88126C23semidirect
531. #88126C23semidirect
532. C4×Dic26C23semidirect
533. C4×Dic26C23semidirect
534. C4×Dic26C23semidirect
817. C2×#538D13semidirect
1001. #538C2×D13semidirect
1020. C2×#126C2×D13semidirect
1021. C2×#126C2×D13semidirect
1047. C2×#124C2×D13semidirect
1067. C2×#123C2×D13semidirect
1068. C2×#123C2×D13semidirect
1084. C2×C22⋊Q8C2×D13semidirect
1103. C2×#121C2×D13semidirect
1104. C2×#121C2×D13semidirect
1118. C2×#120C2×D13semidirect
1141. C2×C4×D4C2×D13semidirect
1142. C2×C4×D4C2×D13semidirect
1155. C22×C22⋊C4C2×D13semidirect
1306. #126C22×D13semidirect
1307. #126C22×D13semidirect
1333. #124C22×D13semidirect
1350. #123C22×D13semidirect
1351. #123C22×D13semidirect
1367. C22⋊Q8C22×D13semidirect
1386. #121C22×D13semidirect
1387. #121C22×D13semidirect
1401. #120C22×D13semidirect
1424. C4×D4C22×D13semidirect
1425. C4×D4C22×D13semidirect
1522. C2×C22⋊C4C22×D13semidirect
1542. C2×C13#3540semidirect
1805. C13C2×#3540semidirect
2027. C2#13129107direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#131291072
C2×#117192992
C2×#117193882
C2×#117193252
C2×#117192642
C2×#117193862
C2×#117193762
C2×#117194072
C2×#117193212
C2×#117193752
C2×#117192002
C2×#117194102
C2×#117192572
C2×#117193032
C2×#117191952
C2×#117192962
C2×#117193482
C2×#117193452
C2×#117193672
C2×#117194152
C2×#117192662
C2×#117193622
C2×#117192982
C2×#117193182
C2×#117193532
C2×#117192972
C2×#117193112
C2×#117192522
C2×#117193612
C2×C13×#5382
C2×#354013